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Finding the Fourth Proportional to 661.12, 911.96 and 395.53

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Solution

The fourth proportional to 661.12, 911.96 and 395.53 is: 545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.12 : 911.96 = 395.53 : x
  2. Step 2: Convert to fraction form
    661.12/911.96 = 395.53/x
  3. Step 3: Cross multiply
    661.12x = 911.96 × 395.53
  4. Step 4: Simplify right side
    661.12x = 360,705.56
  5. Step 5: Solve for x
    x = 360,705.56/661.12
  6. Step 6: Final answer
    x = 545.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.